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Finding the Fourth Proportional to 6,762.89, 9,332.83 and 3,778.85

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Solution

The fourth proportional to 6,762.89, 9,332.83 and 3,778.85 is: 5,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.89 : 9,332.83 = 3,778.85 : x
  2. Step 2: Convert to fraction form
    6,762.89/9,332.83 = 3,778.85/x
  3. Step 3: Cross multiply
    6,762.89x = 9,332.83 × 3,778.85
  4. Step 4: Simplify right side
    6,762.89x = 35,267,308.53
  5. Step 5: Solve for x
    x = 35,267,308.53/6,762.89
  6. Step 6: Final answer
    x = 5,214.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.